Geometric aspects of singular dislocations

Marcelo Epstein; Reuven Segev

doi:10.1177/1081286512465222

Geometric aspects of singular dislocations

Marcelo Epstein, Reuven Segev

Department of Mechanical Engineering

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

Abstract

The theory of singular dislocations is placed within the framework of the theory of continuous dislocations using de Rham currents. For a general n-dimensional manifold, an (n - 1)-current describes a local layering structure and its boundary in the sense of currents represents the structure of the dislocations. Frank's rules for dislocations follow naturally from the nilpotency of the boundary operator.

Original language	English
Pages (from-to)	337-349
Number of pages	13
Journal	Mathematics and Mechanics of Solids
Volume	19
Issue number	4
DOIs	https://doi.org/10.1177/1081286512465222
State	Published - 27 Jun 2014

Keywords

Continuum mechanics
Frank's rules
de Rham currents
differential forms
dislocations
singularities

ASJC Scopus subject areas

General Mathematics
General Materials Science
Mechanics of Materials

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10.1177/1081286512465222

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AB - The theory of singular dislocations is placed within the framework of the theory of continuous dislocations using de Rham currents. For a general n-dimensional manifold, an (n - 1)-current describes a local layering structure and its boundary in the sense of currents represents the structure of the dislocations. Frank's rules for dislocations follow naturally from the nilpotency of the boundary operator.

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KW - singularities

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Geometric aspects of singular dislocations

Abstract

Keywords

ASJC Scopus subject areas

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